38601360 has 400 divisors, whose sum is σ = 164203776. Its totient is φ = 8211456.

The previous prime is 38601307. The next prime is 38601379. The reversal of 38601360 is 6310683.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1043262 + ... + 1043298.

Almost surely, 2^38601360 is an apocalyptic number.

38601360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38601360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82101888).

38601360 is an abundant number, since it is smaller than the sum of its proper divisors (125602416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38601360 is a wasteful number, since it uses less digits than its factorization.

38601360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 38601360 is about 6212.9992757122. Note that the first 3 decimals coincide. The cubic root of 38601360 is about 337.9617383717.

The spelling of 38601360 in words is "thirty-eight million, six hundred one thousand, three hundred sixty".